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Title: Robust adaptive controller design for nonlinear time-delay systems via T-S fuzzy approach
Authors: Hua, C.
Wang, Q.-G. 
Guan, X.
Keywords: Adaptive control
Exponentially stable
Takagi-Sugeno (T-S) fuzzy approach
Time-delay systems
Issue Date: 2009
Source: Hua, C., Wang, Q.-G., Guan, X. (2009). Robust adaptive controller design for nonlinear time-delay systems via T-S fuzzy approach. IEEE Transactions on Fuzzy Systems 17 (4) : 901-910. ScholarBank@NUS Repository.
Abstract: The robust control problem is investigated for a class of uncertain nonlinear time-delay systems. Via the Takagi-Sugeno (T-S) fuzzification, we obtain the T-S fuzzy systems with each local model in the form of time-delay systems with uncertain nonlinear functions. The mismatched nonlinear functions satisfy the Lipschitz condition, while the matched parts are bounded by nonlinear functions with unknown coefficients. Based on the input matrix, the system is decomposed into two cascade subsystems. The virtual controller is designed for the first subsystem, and then, a memoryless adaptive controller is presented. By employing a new Lyapunov Krasovskii functional, we show that the resulting closed-loop system is exponentially stable and the solutions are uniformly ultimately bounded. Finally, simulation examples are given to show the effectiveness of our main results. © 2009 IEEE.
Source Title: IEEE Transactions on Fuzzy Systems
ISSN: 10636706
DOI: 10.1109/TFUZZ.2008.924351
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